Journal
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Volume 221, Issue 3, Pages 1317-1344Publisher
SPRINGER
DOI: 10.1007/s00205-016-0985-z
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Funding
- NSF [DMS-1405728]
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In this paper, we develop an abstract framework to establish ill-posedness, in the sense of Hadamard, for some nonlocal PDEs displaying unbounded unstable spectra. We apply this to prove the ill-posedness for the hydrostatic Euler equations as well as for the kinetic incompressible Euler equations and the Vlasov-Dirac-Benney system.
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